Канал: ASCPhysicsAndAstronomy

Week 15 Worksheet: Hydrogen Model PhET

Week 15 Worksheet: Hydrogen Model PhET

Week 13 Worksheet Solutions Part 4 of 4

Week 13 Worksheet Solutions Part 4 of 4

Week 13 Worksheet Solutions Part 3 of 4

Week 13 Worksheet Solutions Part 3 of 4

Week 13 Worksheet Solutions Part 2 of 4

Week 13 Worksheet Solutions Part 2 of 4

Week 13 Worksheet Solutions Part 1 of 4

Week 13 Worksheet Solutions Part 1 of 4

Week 12 Worksheet Solutions Part 3

Week 12 Worksheet Solutions Part 3

Week 12 Worksheet Solutions Part 2

Week 12 Worksheet Solutions Part 2

Week 12 Worksheet Solutions Part 1

Week 12 Worksheet Solutions Part 1

Worksheet 11 Solutions Part 2 of 2

Worksheet 11 Solutions Part 2 of 2

Worksheet 11 Solutions Part 1 of 2

Worksheet 11 Solutions Part 1 of 2

Falstad Quantum 1D

Falstad Quantum 1D

Fourier Transforms and Wave Packets in the PhET Fourier Simulation Fourier: Making Waves

Fourier Transforms and Wave Packets in the PhET Fourier Simulation Fourier: Making Waves

Introduction to PhET Fourier: Making Waves Simulation

Introduction to PhET Fourier: Making Waves Simulation

Introduction to Quantum Bound State PhET

Introduction to Quantum Bound State PhET

A wave packet reaching a potential barrier

A wave packet reaching a potential barrier

Scattering from a Barrier

Scattering from a Barrier

Scattering from Wells

Scattering from Wells

Total Transmission Condition for Scattering from a Well

Total Transmission Condition for Scattering from a Well

Gaussian Wave Packet and Uncertainty (2 of 2)

Gaussian Wave Packet and Uncertainty (2 of 2)

Uncertainty Principle Examples

Uncertainty Principle Examples

Gaussian Wave Packet and Uncertainty (1 of 2)

Gaussian Wave Packet and Uncertainty (1 of 2)

Wavefunctions in Momentum-space Representations

Wavefunctions in Momentum-space Representations

Fourier Analysis: Discrete values of k

Fourier Analysis: Discrete values of k

Fourier Analysis: Continuous values of k

Fourier Analysis: Continuous values of k

Beats - Review and connection to wave packets

Beats - Review and connection to wave packets

Dirac Delta Function

Dirac Delta Function

Time Evolution of Momentum Eigenstates of Free Particles

Time Evolution of Momentum Eigenstates of Free Particles

Momentum Eigenstates of the Free Particle

Momentum Eigenstates of the Free Particle

Introduction to the "Free Particle"

Introduction to the "Free Particle"

2nd Example: Qualitatively Determining Wave Functions in a Complicated Well (part 2)

2nd Example: Qualitatively Determining Wave Functions in a Complicated Well (part 2)

Qualitatively Determining Wave Functions in a Complicated Well (part 1)

Qualitatively Determining Wave Functions in a Complicated Well (part 1)

Overview of Determining Time Evolution for a given (general) wave function

Overview of Determining Time Evolution for a given (general) wave function

Expectation Value/Inner Product of Two States Expressed as Summations

Expectation Value/Inner Product of Two States Expressed as Summations

Time Evolution of a General Quantum State in Position Representation

Time Evolution of a General Quantum State in Position Representation

Superposition States - The final answer form (Part 5)

Superposition States - The final answer form (Part 5)

Superposition States -Calculating the Coefficients (Part 4)

Superposition States -Calculating the Coefficients (Part 4)

Superposition States - Graphical Approach (Part 3)

Superposition States - Graphical Approach (Part 3)

Superposition States - Determining Coefficients (Part 2)

Superposition States - Determining Coefficients (Part 2)

Superposition States - Polynomial Wave Function (Part 1)

Superposition States - Polynomial Wave Function (Part 1)

Solving Finite Well: Part 5 - Solving the Transcendental Equation

Solving Finite Well: Part 5 - Solving the Transcendental Equation

Solving Finite Well: Part 6 - Graphically Solving Transcendental Equations

Solving Finite Well: Part 6 - Graphically Solving Transcendental Equations

Solving Finite Well: Part 4 - Further Symmetry Arguments

Solving Finite Well: Part 4 - Further Symmetry Arguments

Solving Finite Well: Part 3 - Using Boundary Conditions

Solving Finite Well: Part 3 - Using Boundary Conditions

Solving Finite Well: Part 2 - Defining Boundary Conditions

Solving Finite Well: Part 2 - Defining Boundary Conditions

Solving Finite Well: Part 1 - The Differential Equation Outside the Well

Solving Finite Well: Part 1 - The Differential Equation Outside the Well

Finite vs Infinite Well

Finite vs Infinite Well

Superposition of Two Energy Eigenstates of Infinite Well

Superposition of Two Energy Eigenstates of Infinite Well

Symmetry and Integration

Symmetry and Integration

Expectation Value of Momentum for the n=1 state of the Infinite Square Well

Expectation Value of Momentum for the n=1 state of the Infinite Square Well

Calculating Probability of finding a particle in a given region (Infinite Well)

Calculating Probability of finding a particle in a given region (Infinite Well)

Overview of Solutions to the Infinite Square Well

Overview of Solutions to the Infinite Square Well

Infinite Square Well (1D) - Normalization (part 2 of 3)

Infinite Square Well (1D) - Normalization (part 2 of 3)

Infinite Square Well (1D) - Boundary Conditions (part 3 of 3)

Infinite Square Well (1D) - Boundary Conditions (part 3 of 3)

Infinite Square Well (1D) (part 1 of 3)

Infinite Square Well (1D) (part 1 of 3)

Two Most Common Differential Equations in Quantum

Two Most Common Differential Equations in Quantum

Introduction to Differential Equations

Introduction to Differential Equations

Example: Solving a Differential Equations

Example: Solving a Differential Equations

Solving the Energy Eigenvalue for a Free Particle

Solving the Energy Eigenvalue for a Free Particle

Example Potentials in 1D

Example Potentials in 1D

Energy Eigenvalue Equation in the Position representation

Energy Eigenvalue Equation in the Position representation

The Momentum Operator

The Momentum Operator

Normalizing Wavefunctions in the Position Representation

Normalizing Wavefunctions in the Position Representation

Intro to Position Representation Notation

Intro to Position Representation Notation

Spatial Representation Hamiltonian

Spatial Representation Hamiltonian

Calculating Measurement Probability over time in Energy Basis (2 of 2)

Calculating Measurement Probability over time in Energy Basis (2 of 2)

Calculating Measurement Probability over time in Energy Basis (1 of 2)

Calculating Measurement Probability over time in Energy Basis (1 of 2)

Complex Exponentials and Trig Identites

Complex Exponentials and Trig Identites

Normalization of a time-dependent state

Normalization of a time-dependent state

Time Dependence in Energy Basis (3 of 3)

Time Dependence in Energy Basis (3 of 3)

Time Dependence in Energy Basis (2 of 3)

Time Dependence in Energy Basis (2 of 3)

Time Dependence in Energy Basis (1 of 3)

Time Dependence in Energy Basis (1 of 3)

General States in the Energy Basis

General States in the Energy Basis

Example Calculation of RMS Deviation of S_x operator

Example Calculation of RMS Deviation of S_x operator

Interpreting the S^2 matrix

Interpreting the S^2 matrix

The Energy Basis

The Energy Basis

General Form of the Schrodinger Equation

General Form of the Schrodinger Equation

General Discrete States - Summary

General Discrete States - Summary

Calculations using the Uncertainty Principle (2 of 2)

Calculations using the Uncertainty Principle (2 of 2)

Calculations using the Uncertainty Principle (1 of 2)

Calculations using the Uncertainty Principle (1 of 2)

Constructing general spin-1 states

Constructing general spin-1 states

Spin-1: Introduction to S_z operator and states

Spin-1: Introduction to S_z operator and states

S^2 operator's commutation properties with the S_x operator

S^2 operator's commutation properties with the S_x operator

Commuting Operators and the Uncertainty Principle

Commuting Operators and the Uncertainty Principle

S^2 operator and its matrix representation in the spin-1/2 system

S^2 operator and its matrix representation in the spin-1/2 system

Calculating Commutators

Calculating Commutators

RMS Deviation in Quantum Systems

RMS Deviation in Quantum Systems

Expectation value

Expectation value

Projection Operators and Closure

Projection Operators and Closure

Projection Operators and Measurement

Projection Operators and Measurement

Projection Operators in matrix notation

Projection Operators in matrix notation

Spin-1/2 in a General Direction: Part 3, Finding Eigenvalues

Spin-1/2 in a General Direction: Part 3, Finding Eigenvalues

Spin-1/2 in a General Direction: Part 1

Spin-1/2 in a General Direction: Part 1

Spin-1/2 in a General Direction: Part 2

Spin-1/2 in a General Direction: Part 2

Hermitian Matrix

Hermitian Matrix

Generalized Discrete States

Generalized Discrete States

Index Notation: Summation and the Dirac Delta Function

Index Notation: Summation and the Dirac Delta Function

Determining Matrix form of an Operator from known measurements

Determining Matrix form of an Operator from known measurements

Calculating Eigenvalues and Eigenvectors

Calculating Eigenvalues and Eigenvectors

Operators in Matrix Notation: Applying S_x operator to z-direction spin states

Operators in Matrix Notation: Applying S_x operator to z-direction spin states

Operators in Matrix Notation: Measuring spin in z direction on the z-direction spin states

Operators in Matrix Notation: Measuring spin in z direction on the z-direction spin states

Operators in Matrix Notation: Basics of operators and states in matrix notation

Operators in Matrix Notation: Basics of operators and states in matrix notation

Operators in Matrix Notation: Measuring spin in Y direction of spin-up in Y state

Operators in Matrix Notation: Measuring spin in Y direction of spin-up in Y state

Determinants: Example 3x3 Matrix Calculation

Determinants: Example 3x3 Matrix Calculation

Determinants: Example Calculation of (Complex) 2x2 Matrices

Determinants: Example Calculation of (Complex) 2x2 Matrices

Determinants: 3x3

Determinants: 3x3

Determinants: Basic Properties and 2x2 Determinants

Determinants: Basic Properties and 2x2 Determinants

Outer Products

Outer Products

Introduction to Matrix Representation of Spin-1/2 States

Introduction to Matrix Representation of Spin-1/2 States

Representing Complex Numbers in Two Forms

Representing Complex Numbers in Two Forms

Example: Determining the Orthogonal State to a Ket State

Example: Determining the Orthogonal State to a Ket State

Determining the spin states in X direction from experimental results (3 of 3)

Determining the spin states in X direction from experimental results (3 of 3)

Determining the spin states in X direction from experimental results (2 of 3)

Determining the spin states in X direction from experimental results (2 of 3)

Determining the spin states in X direction from experimental results (1 of 3)

Determining the spin states in X direction from experimental results (1 of 3)

Example: Normalizing a ket state

Example: Normalizing a ket state

Example: Calculating probabilities for measuring spin-up and spin-down

Example: Calculating probabilities for measuring spin-up and spin-down

Normalizing Spin-1/2 Ket States

Normalizing Spin-1/2 Ket States

Ket Notation and corresponding Bra States

Ket Notation and corresponding Bra States

Probability in bra-ket Example Calculation

Probability in bra-ket Example Calculation

Basic approach of calculating probability in bra-ket notation

Basic approach of calculating probability in bra-ket notation

Ket States - Dirac notation for spin-1/2

Ket States - Dirac notation for spin-1/2

What is a vector space?

What is a vector space?

Basis of a Vector Space

Basis of a Vector Space

Normalizing Vectors

Normalizing Vectors

Matrix Multiplication Examples; Identity matrix

Matrix Multiplication Examples; Identity matrix

Introduction to Complex Numbers

Introduction to Complex Numbers

Matrix Multiplication

Matrix Multiplication

Matrix Basics and Notation

Matrix Basics and Notation

Arduino 2019: Ol'de Way

Arduino 2019: Ol'de Way

Arduino 2019: symphony!

Arduino 2019: symphony!

Arduino 2019: SAD Alarm Clock

Arduino 2019: SAD Alarm Clock

Arduino 2019: Oracle

Arduino 2019: Oracle

Introduction to Transformers

Introduction to Transformers

Introduction to Tektronix TBS 1032B Digital Oscilloscope

Introduction to Tektronix TBS 1032B Digital Oscilloscope

Using Arduino Uno to Operate a HC-SR04 Ultrasound Sensor

Using Arduino Uno to Operate a HC-SR04 Ultrasound Sensor

Basics of Truth Tables

Basics of Truth Tables

Field of Wire (24.5)

Field of Wire (24.5)

Inside Charged Sphere (24.5)

Inside Charged Sphere (24.5)

Outside Charged Sphere (24.5)

Outside Charged Sphere (24.5)

Using Gauss' Law (24.5)

Using Gauss' Law (24.5)

So what? (24.4)

So what? (24.4)

Multiple Charges (24.4)

Multiple Charges (24.4)

Charge Outside Surface (24.4)

Charge Outside Surface (24.4)

Flux is Independent of Shape (24.4)

Flux is Independent of Shape (24.4)

Intro to Gauss' Law (24.4)

Intro to Gauss' Law (24.4)

Flux through Closed Surfaces (24.3)

Flux through Closed Surfaces (24.3)

Flux through Curved Surface (24.3)

Flux through Curved Surface (24.3)

Flux of Non-uniform Field (24.3)

Flux of Non-uniform Field (24.3)

Basic Definition of Flux (24.3)

Basic Definition of Flux (24.3)

24.2 Intro to Flux

24.2 Intro to Flux

24.2 Gaussian Surfaces

24.2 Gaussian Surfaces

24.2 Hidden Charges

24.2 Hidden Charges

24.1 Fundamental Symmetries

24.1 Fundamental Symmetries

24.1 Symmetry

24.1 Symmetry

24.1 Matching Symmetry

24.1 Matching Symmetry

Oscilloscope Use in Speed of Light Lab

Oscilloscope Use in Speed of Light Lab

Polarizers (31.7)

Polarizers (31.7)

Polarization Basics (31.7)

Polarization Basics (31.7)

Antennas (31.6)

Antennas (31.6)

Radiation Pressure (31.6)

Radiation Pressure (31.6)

EM Wave Properties (31.6)

EM Wave Properties (31.6)

Math of EM Waves (31.5)

Math of EM Waves (31.5)

Fields in EM Waves (31.5)

Fields in EM Waves (31.5)

Maxwells' Equations (31.4)

Maxwells' Equations (31.4)

Induced Magnetic Field (31.3)

Induced Magnetic Field (31.3)

Displacement Current (31.3)

Displacement Current (31.3)

Ampere's Law - Review (31.3)

Ampere's Law - Review (31.3)

Three Field Laws (31.2)

Three Field Laws (31.2)

Fields in Reference Frames (31.1)

Fields in Reference Frames (31.1)

Reference Frames - Review (31.1)

Reference Frames - Review (31.1)

Holograms (33.8)

Holograms (33.8)

Interferometers (33.8)

Interferometers (33.8)

Wave Model (33.7)

Wave Model (33.7)

Circular Aperture (33.6)

Circular Aperture (33.6)

Comparing Single and Double Slit Experiments (33.4)

Comparing Single and Double Slit Experiments (33.4)

Single Slit Fringe Pattern (33.4)

Single Slit Fringe Pattern (33.4)

Huygen's Principle (33.4)

Huygen's Principle (33.4)

$Single Slit Diffraction (33.4)$

Single Slit Diffraction (33.4)

$Diffraction Grating Fringes (33.3)$

Diffraction Grating Fringes (33.3)

$Diffraction Grating Structures (33.3)$

Diffraction Grating Structures (33.3)

Position of Fringes (33.2)

Position of Fringes (33.2)

intensity of Double Slit Interference (33.2)

intensity of Double Slit Interference (33.2)

Double Slit Interference (33.2)

Double Slit Interference (33.2)

Interference of Light (33.2)

Interference of Light (33.2)

Models of Light (33.1)

Models of Light (33.1)

Beats (Mathematical) (17.8)

Beats (Mathematical) (17.8)

Beats (Conceptual) (17.8)

Beats (Conceptual) (17.8)

Interference Problem Solving Strategy (17.7)

Interference Problem Solving Strategy (17.7)

2D Interference Math (17.7)

2D Interference Math (17.7)

Representing Interference in 2D (17.7)

Representing Interference in 2D (17.7)

Antireflection Coatings (17.6)

Antireflection Coatings (17.6)

Interference Math (17.6)

Interference Math (17.6)

Interference and Phase (17.5)

Interference and Phase (17.5)

Interference Basics (17.5)

Interference Basics (17.5)

Musical Instruments (17.4)

Musical Instruments (17.4)

Tubes with Openings (17.4)

Tubes with Openings (17.4)

Standing Waves in Closed Tubes (17.4)

Standing Waves in Closed Tubes (17.4)

Standing Electromagnetic Wabes (17.3)

Standing Electromagnetic Wabes (17.3)

Harmonics (17.3)

Harmonics (17.3)

Allowed Standing Waves (17.3)

Allowed Standing Waves (17.3)

Waves at boundaries (17.3)

Waves at boundaries (17.3)